The tune up specifications of a car call for the spark plugs to be tightened to a torque of 42.0 nm . you plan to tighten the plugs by pulling on the end of a 23.0 cm long wrench. because of the cramped space under the hood, you'll need to pull at an angle of 105 with respect to the wrench shaft.
with what force must you pull?

189.05043 N

Explanation:

L = Length of wrench = 23 cm

= Torque applied = 42 Nm

= Angle with the horizontal = 105°

F = Force applied

Torque is given by

The pulling force must be 189.05043 N

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

what is the speed of a softball that travels 20m in 2secs

speed = 20/2 = 10 m/s